Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - 5.2 Trigonometric Functions - 5.2 Exercises - Page 519: 45

Answer

See graph, $-\frac{4\sqrt {65}}{65}, -\frac{7\sqrt {65}}{65}, \frac{4}{7}$, $ \frac{7}{4}, $ $ -\frac{\sqrt {65}}{7}$, $ -\frac{\sqrt {65}}{4}$.

Work Step by Step

See graph, use point $(-7,-4)$ with $r=\sqrt {65}$ $sin\theta=-\frac{4\sqrt {65}}{65}, cos\theta=-\frac{7\sqrt {65}}{65}, tan\theta=\frac{4}{7}$, $cot\theta=\frac{7}{4}, $ $sec\theta=-\frac{\sqrt {65}}{7}$, $csc=-\frac{\sqrt {65}}{4}$.
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